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Finding the Third Proportional to 47,440.69 and 99,240.19

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Solution

The third proportional to 47,440.69 and 99,240.19 is: 207,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,440.69 : 99,240.19 = 99,240.19 : x
  2. Step 2: Convert to fraction form
    47,440.69/99,240.19 = 99,240.19/x
  3. Step 3: Cross multiply
    47,440.69x = 99,240.19 × 99,240.19
  4. Step 4: Simplify right side
    47,440.69x = 9,848,614,815.04
  5. Step 5: Solve for x
    x = 9,848,614,815.04/47,440.69
  6. Step 6: Final answer
    x = 207,598.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.